y=5x-3
y=2x+6
Please help me solve each system of equation and show your work thanks
y=12 & x=3
Show your work please
x=y+3/5
in eq.(2)...y=2(y+3/5)+6
y=2y+6/5 +6
y-6=2y+6/5
5y-30=2y+6
3y=36
y=12
& so x=3
To solve the given system of equations:
1. Set the two equations equal to each other since they both equal y:
5x - 3 = 2x + 6
2. Simplify the equation by combining like terms:
5x - 2x = 6 + 3
3x = 9
3. Divide both sides of the equation by 3 to solve for x:
x = 9/3
x = 3
4. Substitute the value of x back into one of the original equations to solve for y. Let's use y = 5x - 3:
y = 5(3) - 3
y = 15 - 3
y = 12
Therefore, the solution to the system of equations is x = 3 and y = 12.